Question

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q:-find the value of k for which system of equation x+y=2 and 2x+ky=8 represent parallel line​​

Answer 1

ANSWER

The given equations are of the form

a1x+b1y+c1=0 

and a2x+b2y+c2=0

where a1=1,b1=2,c1=7 

and a2=2,b2=k,c2=14

The given equations will represent coincident lines if they have infinitely many solutions. 

The condition for which is

a2a1=b2b1=c2c1⇒21=k2=147⇒k=4

Hence, the given system of equations will represent coincident lines, if k=4.

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